What is the Greatest Common Factor of 78855 and 78870?

Greatest common factor (GCF) of 78855 and 78870 is 15.

GCF(78855,78870) = 15

We will now calculate the prime factors of 78855 and 78870, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78855 and 78870.

How to find the GCF of 78855 and 78870?

We will first find the prime factorization of 78855 and 78870. After we will calculate the factors of 78855 and 78870 and find the biggest common factor number .

Step-1: Prime Factorization of 78855

Prime factors of 78855 are 3, 5, 7, 751. Prime factorization of 78855 in exponential form is:

78855 = 3¹ × 5¹ × 7¹ × 751¹

Step-2: Prime Factorization of 78870

Prime factors of 78870 are 2, 3, 5, 11, 239. Prime factorization of 78870 in exponential form is:

78870 = 2¹ × 3¹ × 5¹ × 11¹ × 239¹

Step-3: Factors of 78855

List of positive integer factors of 78855 that divides 78855 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 751, 2253, 3755, 5257, 11265, 15771, 26285

Step-4: Factors of 78870

List of positive integer factors of 78870 that divides 78855 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 239, 330, 478, 717, 1195, 1434, 2390, 2629, 3585, 5258, 7170, 7887, 13145, 15774, 26290, 39435

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78855 and 78870. The biggest common factor number is the GCF number.
So the greatest common factor 78855 and 78870 is 15.

Also check out the Least Common Multiple of 78855 and 78870